Find the Jacobian $\frac { \partial ( x , y ) } { \partial ( u , v ) } \text { for the following change of variables: }$

question 109

Multiple Choice

Find the Jacobian $\frac { \partial ( x , y ) } { \partial ( u , v ) } \text { for the following change of variables: }$ $x = \frac { u } { v } , y = 5 u + v$

• A) \(\frac { 5 u + v } { v }\)
• B) \(\frac { 5 u + v } { v ^ { 2 } }\)
• C) \(- \frac { 5 u - v } { v }\)
• D) \(- \frac { 5 u + v } { v ^ { 2 } }\)
• E) \(\frac { 5 u - v } { v ^ { 2 } }\)

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